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111004012125 = 3253101976933
BaseRepresentation
bin110011101100001011…
…0101100111001011101
3101121112001122002002100
41213120112230321131
53304314011342000
6122554453115313
711006532351336
oct1473026547135
9347461562070
10111004012125
11430929642a6
121961b028b39
13a610510316
14553069728d
152d4a31ca00
hex19d85ace5d

111004012125 has 48 divisors (see below), whose sum is σ = 202084659504. Its totient is φ = 58615920000.

The previous prime is 111004012117. The next prime is 111004012159. The reversal of 111004012125 is 521210400111.

It can be written as a sum of positive squares in 8 ways, for example, as 468376164 + 110535635961 = 21642^2 + 332469^2 .

It is not a de Polignac number, because 111004012125 - 23 = 111004012117 is a prime.

It is a super-3 number, since 3×1110040121253 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111004012098 and 111004012107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374842 + ... + 602091.

It is an arithmetic number, because the mean of its divisors is an integer number (4210097073).

Almost surely, 2111004012125 is an apocalyptic number.

111004012125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111004012125 is a deficient number, since it is larger than the sum of its proper divisors (91080647379).

111004012125 is a wasteful number, since it uses less digits than its factorization.

111004012125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977055 (or 977042 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 111004012125 its reverse (521210400111), we get a palindrome (632214412236).

The spelling of 111004012125 in words is "one hundred eleven billion, four million, twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 225 303 375 505 909 1125 1515 2525 4545 7575 12625 22725 37875 113625 976933 2930799 4884665 8792397 14653995 24423325 43961985 73269975 98670233 122116625 219809925 296010699 366349875 493351165 888032097 1099049625 1480053495 2466755825 4440160485 7400267475 12333779125 22200802425 37001337375 111004012125